-1064

Appears in sequences

• Triangle T(n,k) read by rows giving coefficients in expansion of n! * Sum_{i=0..n} C(x,i) in descending powers of x.at n=39A054651
• Triangle, read by rows, where T(n,k) = (k/n)*Sum_{d|n} A096797(d,k).at n=79A096798
• Expansion of -(3 - x + 2*x^2) / (1 - x^3 + x^4).at n=47A110063
• Triangle of characteristic polynomials, see Mathematica code.at n=11A158391
• Totally multiplicative sequence with a(p) = (p+2)*(p-3) = p^2-p-6 for prime p.at n=33A167359
• Triangle T(n,k), read by rows, of the coefficients of x^k in the expansion of Sum_(m=0..n) binomial(x,m) = (a(k)*x^k)/n!, n >= 0, 0 <= k <= n.at n=41A190782
• G.f.: Product_{k>0} (1 - x^k)^4 * (1 - (-x)^k)^8.at n=7A225543
• Alternating sum of heptagonal pyramidal numbers.at n=13A269428
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 710", based on the 5-celled von Neumann neighborhood.at n=45A273424
• G.f.: A(x,q) = sqrt( Q(x,q) / Q(x,-q) ), where Q(x,q) = Sum_{n=-oo..+oo} (x - q^n)^n.at n=184A292929
• Expansion of e.g.f. log( 1 + x^3 * exp(x) / 3! ).at n=8A346751
• Coefficient of x^5 in expansion of n!* Sum_{k=0..n} binomial(x,k).at n=3A348068
• Expansion of g.f. A(x) satisfying A(x) = A(x^3 + x^4) / A(x^2).at n=33A372529